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Beyond the Rank-Size Rule

A New Descriptive Model of City Sizes

Bibliographic Data

ID11670385
AuthorsJohn U Marshall (York University, corresponding author)
Year1997
Volume18
Issue1
Pages36-55
Publication date1997-01-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueUrban Geography (JOURNAL)
Journal identifiersISSN: 0272-3638 • E-ISSN: 1938-2847
PublisherTaylor & Francis (PUBLISHER • GB)
DOI10.2747/0272-3638.18.1.36
OpenAlexW2074019342
LanguageEN
Citations received2
References cited12

A new descriptive model of the frequency distribution of city size, termed the constant-Gini model, is introduced. The motivation behind this new model is threefold. First, it is believed that studies of the population structure of urban systems are most rewarding when systems are defined in terms of urban umlands instead of entire national territories. Second, it is noted that many large cities exhibit moderate or strong degrees of urban primacy within their own umlands. Third, the traditional rank-size rule generally is unable to describe a primate structure without significant error. Hence a new model is needed for application at the regional (i.e., umland-based) scale. The proposed constant-Gini model appears to satisfy this need. The performance of the new model is compared to that of the rank-size rule when applied to 34 regional urban systems in three different countries, using various levels of truncation of the ranked lists of city populations. Overall, the constant-Gini model reproduces the observed population data more accurately than the rank-size model in two-thirds of all cases examined. Brief comments are offered on the factors that appear to determine which of the two models provides the better fit in any particular case

Combinatorics · Constant (computer programming · Distribution (mathematics · Econometrics · Economic inequality · Geography · Gini coefficient · Inequality · Population · Population size · Rank (graph theory · Sociology · Statistics · Truncation (statistics · Computer Science · Demography · Housing Market and Economics · Mathematics · Urban Transport and Accessibility · Urban, Neighborhood, and Segregation Studies

  • Scaling the Rank-Size Rule

    James W Fonseca, D W S Wong•The Professional Geographer•2026

  • Departures from Gibrat's Law, Discontinuities and City Size Distributions

    Open Access•Ahjond S Garmestani, Craig R Allen et al.•Urban Studies•2007

  • The Illusion of Permanence

    Francis G Hutchins•Illusion of Permanence•1967

  • Models of City Size in an Urban System

    Open Access•John B Parr•Papers of the Regional Science…•1970

  • National city-size distributions

    Open Access•Glenn R Carroll•Progress in Human Geography•1982

  • The Rank-Size rule in the absence of growth

    Open Access•Daniel R Vining•Journal of Urban Economics•1977

  • Settlement Populations and the Lognormal Distribution

    Open Access•John B Parr, Keisuke Suzuki•Urban Studies•1973

  • The Dynamics of Growth in a Regional Urban System

    Open Access•John U Marshall, Wilfred Smith et al.•Canadian Geographies /…•1978

  • A Methodological Analysis of Segregation Indexes

    Otis Dudley Duncan, Beverly Duncan•American Sociological Review•1955

Unique citing works2
Citations per year0,11
Citation span2007 - 2026 (20)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 2

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